• Mathematics
  • Year 7


approx. 8 hrs

2 topics

15 concepts

Develop an understanding of key arithmetical concepts such as the orders of operations with numbers, laws of arithmetic and calculations with positive and negative numbers.

Available in


The Year 7 Integers program is aligned with the Number and Algebra strand of the Australian curriculum. Students studying Integers apply the laws of arithmetic, such as the associative, commutative and distributive laws for multiplication and addition. They learn about and apply mental computation strategies and explore how and why the order of operations is important.

Topics & Concepts We Cover

This learning program is made up of the following 2 topics, broken down into 15 concepts.

  • Laws of Arithmetic 3 concepts

    1. Apply the commutative laws to aid mental computation

    2. Apply the distributive laws to aid mental computation

    3. Apply the associative laws to aid mental computation

  • Computation with Integers 12 concepts

    1. Compare and order integers

    2. Recognise and place integers on a number line

    3. Use factors of a number to aid mental computation involving multiplication and division

    4. Divide two- and three-digit numbers by a two-digit number

    5. Show the connection between division and multiplication, including where there is a remainder

    6. Represent real-life using directed numbers

    7. Subtract integers using mental and written strategies

    8. Add integers using mental and written strategies

    9. Multiplying positive and negative integers

    10. Recognise the direction and magnitute of integers

    11. Dividing positive and negative integers

    12. Apply the order of operations to calculate integers

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Integers


  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

Ready to start this program?

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Starting at

$49(inc. GST)

per session

Fully flexible

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Access to practice questions

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